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Finding the Fourth Proportional to 7,742.88, 10,682.82 and 4,385.16

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Solution

The fourth proportional to 7,742.88, 10,682.82 and 4,385.16 is: 6,050.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,742.88 : 10,682.82 = 4,385.16 : x
  2. Step 2: Convert to fraction form
    7,742.88/10,682.82 = 4,385.16/x
  3. Step 3: Cross multiply
    7,742.88x = 10,682.82 × 4,385.16
  4. Step 4: Simplify right side
    7,742.88x = 46,845,874.95
  5. Step 5: Solve for x
    x = 46,845,874.95/7,742.88
  6. Step 6: Final answer
    x = 6,050.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.